Find the length of UT.
с
12
T
14
W
2x+2U
2x + 5
A. 32
OB. 43
C. 21
OD. 39

Find The Length Of UT.12T14W2x+2U2x + 5A. 32OB. 43C. 21OD. 39

Answers

Answer 1

Answer: A. 32

Concept:

Here, we need to know the idea of the intersecting chord theorem and segment addition postulate.

The intersecting chord theorem states that when two chords intersect at a point, P, the product of their respective partial segments is equal.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

Given information

CW = 12

TW = 14

VW = 2x + 5

UW = 2x + 2

Given expression deducted from intersecting chord theorem

CW · VW = TW · UW

Substitute values into the expression

(12) · (2x + 5) = (14) · (2x + 2)

Expand parentheses and apply the distributive property

24x + 60 = 28x + 28

Subtract 14x on both sides

24x + 60 - 24x = 28x + 28 - 24x

60 = 4x + 28

Subtract 28 on both sides

60 - 28 = 4x + 28 - 28

32 = 4x

Divide 4 on both sides

32 / 4 = 4x / 4

x = 8

Given expression deducted from the segment addition postulate

UT = UW + TW

Substitute values into the expression

UT = 2x + 2 + 14

Substitute x value into the expression

UT = 2 (8) + 2 + 14

UT = 16 + 2 + 14

Combine like terms

UT = 32

Hope this helps!! :)

Please let me know if you have any questions

Find The Length Of UT.12T14W2x+2U2x + 5A. 32OB. 43C. 21OD. 39
Find The Length Of UT.12T14W2x+2U2x + 5A. 32OB. 43C. 21OD. 39

Related Questions

Help meeeeeeeeeeeeeeeee

Answers

Answer:

x-3

Step-by-step explanation:

the inverse is x-3

this is the answer

Rewrite in simplest terms: 9w-3(-w-8)

Answers

Answer:

[tex]12w+24[/tex]

Step-by-step explanation:

[tex]9w−3(−w−8)[/tex]

[tex]9w+(−3)(−w)+(−3)(−8)[/tex]

[tex]9w+3w+24[/tex]

[tex](9w+3w)+(24)[/tex]

[tex]12w+24[/tex]

Hope it is helpful.....

In the simplest form we can write the expression as - 12(w + 2).

We have the following expression -

9w - 3(- w - 8)

We have to write it in simplest form.

Expand the following expression -Δ = (x - α)(x - β)

Expanding we get -

Δ = x(x - β) - α(x - β)

Δ = [tex]x^{2}[/tex] - βx - αx + αβ

According to the question, we have -

9w - 3(- w - 8)

Simplifying it, we get -

9w + 3(w + 8)

9w + 3w + 24

12w + 24

12(w + 2)

Hence, in the simplest form we can write the expression as - 12(w + 2).

To solve more questions on Simplifying expressions, visit the link below-

https://brainly.com/question/20456437

#SPJ2

Which of the following is a true statement of the figure

Answers

Answer:

The last one

Step-by-step explanation:

Complete the equation. (x-2)(x^2 + 2x + 4) = ( , )

Answers

Answer:

Step-by-step explanation:

x(x² + 2x + 4)-2((x² + 2x + 4)

x³+2x²+4x -2x²-4x-8

x³-8

1109,1116,1123 what’s next

Answers

Answer:

C. 1130

BRAINLIEST, PLEASE!

Step-by-step explanation:

1109 + 7 = 1116

1116 + 7 = 1123

1123 + 7 = 1130

The value of the missing number is 1130.

Missing number

The missing number in the series can be determined by finding the common difference or pattern of the numbers.

let the common difference = d

1109 + 7 = 1116

1116 + 7 = 1123

1123 + 7 = 1130

Thus, the value of the missing number is 1130.

Learn more about missing numbers here: https://brainly.com/question/1241542

Which statement is true regarding the graphed functions?
euf
12
40
B
4
914
2
1 2
3
4.
5
B
X
I f 5 4 3 2 12)
-4
B
be
10
2
141
f(4) = g(4)
f44) = (1-2)

Answers

Is there more option choices since the ones that are visible rent correct
Maybe upload an image of the choice rather than text since it’s unreadable

what is 6% of 3125 ​

Answers

Answer:

187.5

Step-by-step explanation:

6% of 3125 ​

=> 6/100 x 3125

=> 18750/100

=> 187.5

find value of x from the given figure

Answers

I an not sure but i hope it will help you.please mark me as brainlest.

9.62 - 3 =
2.57 + 7.706 =
15 - 6.108 ​

Answers

Step-by-step explanation:

[tex]9.62 - 3[/tex]

[tex] = 6.62[/tex]

•♧•♧•♧•♧•♧•♧•

[tex]2.57 + 7.706[/tex]

[tex] = 10.276[/tex]

•◇•◇•◇•◇•◇•◇•

[tex]15 - 6.108[/tex]

[tex] = 9.892[/tex]

Add the Following Fractions:

\large \frac{3}{8}+\frac{2}{8}=?

a. 5/16
:b. 5/8
c. 6/8
d. 1/8

Answers

Answer:

B. [tex]\frac{5}{8}[/tex]

Explanation:

Because the denominators (bottom numbers) of both fractions are the same, we simply just add the numerators (top numbers) and keep 8 as the denominator.

What is the equation of a circle with center -4, 7 and radius 6

Answers

Answer:

[tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]

Step-by-step explanation:

Use the circle equation, [tex]( x - h )^2 + ( y - k )^2 = r^2[/tex]

Plug in the center and radius:

[tex]( x + 4 )^2 + ( y - 7 )^2 = 6^2[/tex]

Simplify:

[tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]

So, the equation is [tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]

Find the measure of the missing angles please help

Answers

Answer:

Angle x = 90 - 47 = 43 degrees

Angle g = 90 - 43 = 47 degrees

Step-by-step explanation:

Please help and please give explanation

Answers

Answer: -5 i guess i might b wrong i dont know -5

Step-by-step explanation:

what is the answer to this problem (40+35+2(30+25))/5

Answers

Answer:

37

Step-by-step explanation:

Answ 925

Step-by-step explanation:

1. Which is an example of an algebraic expression?

Answers

Answer:

3-a

Step-by-step explanation:

it involves variables like x, y, z

in this case a

Identify any outlier(s) in the data.
{63, 61, 55, 42, 49, 67, 59, 53, 48, 64, 70, 47, 69, 12, 57, 62}

Answers

12 because the rest of the numbers are all similar except 12

write and simplify an expression for the area of the triangle

(show step by step)​

Answers

Answer:

Step-by-step explanation:

The area of the triangle is

B*h/2

Where B=x+5 and h=x-2 so if we substitute

(x+5)*(x-2)/2 =

(x^2 +3*x -10)/2=

x^2/2 + 3/2 *x -5

8. Is it possible to have an object that does not have 360° rotational symmetry? Explain your reasoning.

Answers

The answer is No

Don't forget put heart ♥️

Emily Bought the Following items for Christmas gifts for her Friends: 5 Hannah Montana calendars, 3 DVDs, 2 books, 1 Monopoly game, 8 CDs, 1 Box of Candy, and 2 gift Cards to Walmart.What is the Ratio of DVDs to the total number of Gifts.​

Answers

Answer:

Ig its 22:3

Step-by-step explanation:

First we add all the gifts and put it in the ratio and the other is 3 dvds

Which represents a function?​

Answers

Answer:

B

Step-by-step explanation:

For a function to be a function, every x value can only equal a single y value. A has two y values for one x value, and so does C and D. This leaves only B.

28) Find the circumference of a circle with a diameter of 2.5 inches. (it = 3.14)

Answers

Answer: Circumference = 7.85 inches

Concept:

Here, we need to know the idea of circumference.

The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.

Circumference = 2πr

r = radius

π = constant

Solve:

Given information

r = (1/2) d = (1/2) (2.5) = 1.25 inches

π = 3.14

Given formula

Circumference = 2πr

Substitute values into the formula

Circumference = 2 · (3.14) · (1.25)

Simplify by multiplication

Circumference = (2.5) · (2.14)

Circumference = [tex]\boxed {7.85 inches}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·2.5≈7.85398in

Evaluate:
45
O 256
O 625
0 1024
o I don't know

Answers

Answer:

A. 256

Step-by-step explanation:

4×4×4×4=256

I hope this helps!

pls ❤ and mark brainliest pls!

answer : 1024

100% correct ;)

Need help!!!!

Will earns $6.50 per hour and time-an-a-half for all hours over 40.
Find his weekly pay if he worked 47 hours.
a. $305.50
b. $328.25
c. $269.75
d. $68.25

Answers

Answer:

b

Step-by-step explanation:

You are wrapping a gift box that is 16 inches long,
7 inches wide, and 9 inches tall. Find the amount of
wrapping paper you need to wrap the gift box to the
nearest square inch.

Answers

Answer:

1008 inches

Step-by-step explanation:

Evaluate -1/5 ab if a =3/7 and b =5/8 . Write in simplest form.

Answers

Step-by-step explanation:

x = 1/4

4x = 4 * 1/4 = 4/4 = 1.

What is the equation of the line that passes through the point (8,−3) and has an undefined slope?

Answers

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

Recall that horizontal lines have a slope of zero, while vertical lines have an undefined slope.

Therefore, the line must be vertical.

And since it is vertical, we will only need to consider the x-coordinate of our point.

The x-coordinate of (8, -3) is 8.

Hence, the equation of the line that passes through (8, -3) with an undefined slope is:

[tex]x = 8[/tex]

Answer: x= 8

Step-by-step explanation:

It is a vertical line that passes through point 8 on the x axis.

|72| ÷ |-12| =
?????????

Answers

Answer:

6

Step-by-step explanation:

|72| ÷ |-12|

Absolute value of 72 = 72

Absolute value of -12 = 12

72 ÷ 12 = 6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Help!!!!! Pleaseee I don’t understand

Answers

Answer:

Question 22: x = 3Question 23: AB = 10Question 24: BD = 14Question 25: CE = 17

Concept:

Here, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

If you are still confused, you may tell me or refer to the attachment below for a graphical explanation.

Solve:

Question 22. If AC = 16, what is x?

Given information

AC = 16

AB = x + 7

BC = 2x

Given expression deducted from the segment addition postulate

AB + BC = AC

Substitute values into the expression

x + 7 + 2x = 16

Combine like terms

x + 2x + 7 = 16

3x + 7 = 16

Subtract 7 on both sides

3x + 7 - 7 = 16 - 7

3x = 9

Divide 3 on both sides

3x / 3 = 9 / 3

[tex]\boxed {x=3}[/tex]

Question 23. What is AB?

Given information

x = 3

Given expression deducted from the segment addition postulate

AB = x + 7

Substitute values into the expression

AB = (3) + 7

[tex]\boxed {AB=10}[/tex]

Question 24. What is BD?

Given information

BC = 2x

CD = 3x - 1

x = 3

Given expression deducted from the segment addition postulate

BD = BC + CD

Substitute values into the expression

BD = 2x + 3x - 1

BD = 2(3) + 3(3) - 1

BD = 6 + 9 - 1

BD = 15 - 1

[tex]\boxed {BD=14}[/tex]

Question 25. What is CE?

Given information

CD = 3x - 1

DE = 2x + 3

x = 3

Given expression deducted from the segment addition postulate

CE = CD + DE

Substitute values into the expression

CE = 3x - 1 + 2x + 3

CE = 3(3) - 1 + 2(3) + 3

CE = 9 - 1 + 6 + 3

CE = 8 + 6 + 3

CE = 14 + 3

[tex]\boxed {CE=17}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

brainiest to whoever right

Answers

Answer:

x = 15

Angle ABC = 57°

Step-by-step explanation:

Hi there!

We're given:

⇒ ABD is a straight line

⇒ Angle ABC = 5x-18 degrees

⇒ Angle DBC = 8x+3 degrees

ABD is a straight line, meaning it measures an angle of 180 degrees.

Angles ABC and DBC create line ABD, so therefore, their sum is equal to 180 degrees:

[tex](5x-18)+(8x+3)=180[/tex]

Open the parentheses:

[tex]5x-18+8x+3=180[/tex]

Combine like terms:

[tex]13x-15=180\\13x=195[/tex]

Divide both sides by 13 to isolate x:

[tex]x=15[/tex]

Therefore, x = 15.

To find angle ABC, replace x with 15 in 5x-18:

[tex]5x-18\\=5(15)-18\\=75-18\\=57[/tex]

Therefore, the measure of angle ABC is 57 degrees.

I hope this helps!

Determine a quadratic equation that has 7 and -4 as solutions.

Answers

Answer:

(x+x1)(x-x2)

let x1=7 and x2=-4

(x+7)(x-(-4))

(x+7)(x+4)

x^2+4x+7x+28

x^2+11x+28

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